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13910820 = 22357113011
BaseRepresentation
bin110101000100…
…001100100100
3222011202001120
4311010030210
512030121240
61214053540
7226145220
oct65041444
928152046
1013910820
117941450
1247aa2b0
132b60971
141bc1780
15134bad0
hexd44324

13910820 has 96 divisors (see below), whose sum is σ = 48577536. Its totient is φ = 2889600.

The previous prime is 13910783. The next prime is 13910833. The reversal of 13910820 is 2801931.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (506016).

Almost surely, 213910820 is an apocalyptic number.

13910820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13910820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288768).

13910820 is an abundant number, since it is smaller than the sum of its proper divisors (34666716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13910820 is a wasteful number, since it uses less digits than its factorization.

13910820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13910820 is about 3729.7211692029. The cubic root of 13910820 is about 240.5013823916.

Subtracting from 13910820 its reverse (2801931), we obtain a square (11108889 = 33332).

It can be divided in two parts, 139108 and 20, that added together give a triangular number (139128 = T527).

The spelling of 13910820 in words is "thirteen million, nine hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 3011 4620 6022 9033 12044 15055 18066 21077 30110 33121 36132 42154 45165 60220 63231 66242 84308 90330 99363 105385 126462 132484 165605 180660 198726 210770 231847 252924 316155 331210 397452 421540 463694 496815 632310 662420 695541 927388 993630 1159235 1264620 1391082 1987260 2318470 2782164 3477705 4636940 6955410 13910820